To me it seem that the naturals are discrete in nature and that zeroreally not a natural number or even a number. Regarding infinity wecan not have a view of something where we do not have a full sethandwaving shouting infinity really do not help.

For me each natural must be a continuum fractions is just a way topartition a discrete natural number.When we partition a single discrete entity of the naturals one realisethat infinity is just the limit expressed.The numberline is just a figment of imagination, where we imaginediscrete entities lined up.

We can take a cut anywhere to represent 7 so the set is a much betteranalogy to magnitudes then the numberline.